Mathematics – Mathematical Physics
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..441s&link_type=abstract
Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International
Mathematics
Mathematical Physics
Affinely-Rigid Body, Born-Infeld Nonlinearity, Micromorphic Continuum, Telepar-Allelism, Tetrad
Scientific paper
Discussed are field-theoretic models with degrees of freedom described by the n-leg field in an n-dimensional "space-time" manifold. Lagrangians are generally-covariant and invariant under the internal group GL(n, R). It is shown that the resulting field equations have some correspondence with Einstein theory and possess homogeneous vacuum solutions given by semisimple Lie group spaces or their appropriate deformations. There exists a characteristic link with the generalized Born-Infeld type nonlinearity and relativistic mechanics of structured continua. In our model signature is not introduced by hands, but is given by integration constants for certain differential equations.
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